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Simple Interest – Compound Interest
Total Time: 75 mins
Practise Exercise no. 1
Total no. Of Qs: 40
Q1. At what simple interest shall a sum of money
double itself in 5 years?
interest from both the loans. What was the original
rate of interest?
Q2. For how many years should Rs 600 be invested at
10% pa at SI in order to earn same interest as earned
by investing Rs 800 at 12%pa for 5 years at SI?
Q10. A person borrows Rs. 5000 for 2 years at 4% p.a.
simple interest. He immediately lends it to another
person at 6.25 p.a for 2 years. Find his gain in the
transaction per year.
Q3. If a sum of money doubles itself in 6 years at SI,
how much time will take to become 4 times?
Q4. A man invests an amount of Rs 15860 in the name
of his 3 sons P, Q and R in such a way that they get the
same amount after 2, 3 and 4 years respectively. If the
rate of simple interest is fixed at 5% pa, what is the
ratio of the amounts invested in the name of A, B and
C?
Q5. A sum of money at simple interest amounts to Rs.
815 in 3 years and to Rs. 854 in 4 years. The sum is:
Q6. Mr. Thomas invested an amount of Rs. 13,900
divided in two different schemes A and B at the simple
interest rate of 14% p.a. and 11% p.a. respectively. If
the total amount of simple interest earned in 2 years
be Rs. 3508, what was the amount invested in Scheme
B?
Q7. Reena took a loan of Rs. 1200 with simple interest
for as many years as the rate of interest. If she paid
Rs. 432 as interest at the end of the loan period, what
was the rate of interest?
Q8. An automobile financier claims to be lending
money at simple interest, but he includes the interest
every six months for calculating the principal. If he is
charging an interest of 10%, the effective rate of
interest becomes:
Q9. A sum of Rs. 725 is lent in the beginning of a year
at a certain rate of interest. After 8 months, a sum of
Rs. 362.50 more is lent but at the rate twice the
former. At the end of the year, Rs. 33.50 is earned as
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Q11. Find the amount for Rs 80,000 at 10% pa
compounded semi-annually for 2 years.
Q12. The difference between CI and SI on a certain
amount at 10% pa for 2years, compounded annually is
Rs 372. Find the principal.
Q13. Find the amount after 3 years if the principal is
Rs 10,000 and the rates are 10%, 8% and 12% for each
year respectively.
Q14. Rakesh invests certain amount of money at 6%
pa at SI and another amount at 7% pm at SI. His
income from interests after 2 years was Rs 354. Onefourth of the first amount is equal to the one-fifth of
the second amount. Find the total sum invested.
Q15. A bank offers 5% compound interest calculated
on half-yearly basis. A customer deposits Rs. 1600
each on 1st January and 1st July of a year. At the end of
the year, the amount he would have gained by way of
interest is:
Q16. The difference between simple and compound
interests compounded annually on a certain sum of
money for 2 years at 4% per annum is Re. 1. The sum
(in Rs.) is:
Q17. What is the difference between the compound
interests on Rs. 5000 for 1.5 years at 4% per annum
compounded yearly and half-yearly?
Q18. Simple interest on a certain sum of money for 3
years at 8% per annum is half the compound interest
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on Rs. 4000 for 2 years at 10% per annum. The sum
placed on simple interest is:
Q19. The compound interest on a certain sum for 2
years at 10% per annum is Rs. 525. The simple interest
on the same sum for double the time at half the rate
percent per annum is:
Q20. A certain amount earns SI of Rs 1750 after 7
years. Had the interest been 2% more, how much
more interest it would have earned?
Q21. The SI on a sum of money will be Rs 600 after 10
years. If the principal is trebled after 5 years, what will
be the total interest at the end of tenth year?
Q22. A moneylender finds that due to a fall in the
annual SI from 8 to 7 ¾%, his yearly income is reduced
by Rs 61.50. The amount invested by him is:
Q23. A man invested 1/3 of his capital at 7% SI, ¼ at
8% SI and the remainder at 10% SI. If he gets a total
return of 10%, his total investment is:
Q24. Find the CI on Rs 8000 at 15% pa for 2 years and
4 months, compounded
a.
Annually
c. Quarterly
b.
Semi-annually
d. Monthly
Q25. Divide Rs 1301 between A and B, such that the
amount with A after 7 years is equal to the amount
with B after 9 years, the interest being compounded
annually at 4% pa.
Q26. A sum of money amounts to Rs 6690 after 3
years and to Rs 10035 after 6 years on compound
interest. Find the sum.
Q27. What annual payment will discharge a debt of Rs
7620 due in 3 years at 16.66% pa CI?
Q28. A man saves Rs 200 at the end of each year and
lends the money at 5% CI. How much money he would
have made at the end of 3 years.
Q30. If the CI on a sum for 2 years at 12.5% pa is Rs
510, the SI on the same sum at the same rate for the
same period of time is:
Q31. The difference between the SI on a certain sum
at the rate of 10% pa for 2 years and CI which is
compounded every 6 months is Rs 124.05. What is the
principal sum?
Q32. On a sum of money, the SI for 2 years is Rs 660,
while the CI is Rs 696.30, the rate of interest being the
same in both the cases. The rate of interest is:
Q33. A sum of money invested at CI amounts to Rs
800 in 3 years and to Rs 840 in 4 years. The rate of
interest per annum is:
Q34. A sum of money deposited at CI becomes double
in 5 years. What is the rate of interest & in how much
time will the same principal increases by 700% of the
initial amount?
Q35. A sum of money is borrowed and paid back in 2
annual instalments of Rs 882 each allowing 5% CI. The
sum was:
Q36. At what rate percent CI does a sum of money
become nine-fold in 2 years?
Q37. On a certain sum of money, the SI for 2 years is
Rs 50 at the rate of 5% pa. Find the difference in CI &
SI.
Q38. If the difference between CI and SI on a certain
sum of money for 3 years at 5% pa is Rs 122, find the
sum.
Q39. Find the difference between CI & SI on Rs 8000
for 3 years at 5% pa.
Q40. A man borrows Rs 4,000 at 20% CI. At the end of
each year he pays back Rs 1500. How much amount
should he pay at the end of 3rd year to clear all his
dues?
Q29. The CI on Rs 30,000 at 7%pa is Rs 4347. The
period in years is:
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Page 2
Simple Interest- Compund Interest Practise Exercise-1 (Solution)
Q no.
1
2
3
Answer
20%
8 years
18 yrs
Q no.
21
22
23
06:04:03
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
Rs. 698
Rs. 6,400
6%
10.25%
3.46%
Rs. 112.50
Rs. 97,240.50
Rs. 37,200
Rs. 13,305.60
Rs. 2,700
Rs. 121
Rs. 625
Rs. 2.04
Rs. 1,750
Rs. 500
CND (cannot be determined)
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
Answer
Rs. 1,200
Rs. 24,600
Rs. 6,600
Annually = Rs 11079,
Semiannually = Rs. 11206,
Quarterly = Rs. 11274,
Monthly = Rs 11322
Rs. 676, Rs. 625
Rs. 4,460
3,430
Rs. 662.02
2 years
Rs. 480
Rs. 8,000
11%
5%
R= 14.8% (Approx. 15%) ,
Time= 15 Years
Rs. 1,640
200%
Rs 1.25
Rs. 16,000
Rs. 61
Rs 2852